Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 216, 963, 251 i.e. 1 largest integer that divides all the numbers equally.
GCD of 216, 963, 251 is 1
GCD(216, 963, 251) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 216, 963, 251 is 1
GCD(216, 963, 251) = 1
Given Input numbers are 216, 963, 251
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Greatest Common Divisior
We found the divisors of 216, 963, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 963, 251 is 1.
Therefore, GCD of numbers 216, 963, 251 is 1
Given Input Data is 216, 963, 251
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 963 is 3 x 3 x 107
Prime Factorization of 251 is 251
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(216, 963) = 23112
GCD(216, 963) = ( 216 x 963 ) / 23112
GCD(216, 963) = 208008 / 23112
GCD(216, 963) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 251
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 251) = 2259
GCD(9, 251) = ( 9 x 251 ) / 2259
GCD(9, 251) = 2259 / 2259
GCD(9, 251) = 1
GCD of 216, 963, 251 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 216, 963, 251?
GCD of 216, 963, 251 is 1
2. Where do I get the detailed procedure to find GCD of 216, 963, 251?
You can find a detailed procedure to find GCD of 216, 963, 251 on our page.
3. How to find GCD of 216, 963, 251 on a calculator?
You can find the GCD of 216, 963, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.